Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915741999038464 |
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| author | Siew, Rui Xian Chandrasekharan, Shailesh Bhattacharya, Tanmoy |
| author_facet | Siew, Rui Xian Chandrasekharan, Shailesh Bhattacharya, Tanmoy |
| contents | We argue that a simple qubit-regularized $\mathrm{SU}(2)$ lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three spatial dimensions. We map the chain Hamiltonian to the Transverse Field Ising Model (TFIM) in a uniform magnetic field and demonstrate that it can be tuned to a continuum limit in which the short-distance physics is governed by the asymptotically free Ising conformal field theory (CFT) describing free Majorana fermions, while the long-distance regime contains massive excitations of the $E_8$ quantum field theory (QFT) that can be interpreted as one-dimensional analogues of glueballs. Furthermore, we find $\sqrtσ/m_1 = 0.249(1)$ where $σ$ is the string tension between two static quarks and $m_1$ is the mass of the lightest glueball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11068 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory Siew, Rui Xian Chandrasekharan, Shailesh Bhattacharya, Tanmoy High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory Nuclear Theory Quantum Physics We argue that a simple qubit-regularized $\mathrm{SU}(2)$ lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three spatial dimensions. We map the chain Hamiltonian to the Transverse Field Ising Model (TFIM) in a uniform magnetic field and demonstrate that it can be tuned to a continuum limit in which the short-distance physics is governed by the asymptotically free Ising conformal field theory (CFT) describing free Majorana fermions, while the long-distance regime contains massive excitations of the $E_8$ quantum field theory (QFT) that can be interpreted as one-dimensional analogues of glueballs. Furthermore, we find $\sqrtσ/m_1 = 0.249(1)$ where $σ$ is the string tension between two static quarks and $m_1$ is the mass of the lightest glueball. |
| title | Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2512.11068 |